4 a manufacturer believes that the proportion of shipments of parts th
4. A manufacturer believes that the proportion of shipments of parts that arrive late is p = 0.6.
If a random sample of 12 orders shows that four or fewer arrived late, the hypothesis that
p = 0.6 will be rejected in favor of the alternative p<0.6. Use the binomial distribution to
answer the following.
(a) Find the probability of committing a type I error if the true proportion is 0.6.
(b) Find the probability of committing a type II error for the specific alternatives p = 0.3
and p = 0.5.
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